The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 0 1 X 1 X 1 1 1 1 1 1 1 X 1 2 1 1 1 1 2 X 1 1 1 0 1 1 X+2 1 X 1 1 2 1 X+2 1 1 1 1 X+2 1 1 1 0 1 1 1 2 1 1 1 0 1 1 1 2 1 0 2 X 1 1 1 X+2 1 1 1 X+2 1 1 1 1 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 3 1 1 X+1 1 X+2 1 X+1 3 2 X+2 0 1 X+3 1 2 1 X 3 X+2 X+1 1 1 3 X+2 X+3 1 X+2 X+3 1 0 1 0 X+2 1 X+2 1 X+1 X+1 0 X+3 1 X X 2 1 X 1 1 1 X+1 X+1 2 1 3 X+2 2 1 X+2 1 0 X+2 1 X+1 3 1 0 2 X+1 1 2 3 3 2 1 X+1 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 2 2 2 X X+2 X+2 X X 0 X+2 X+2 X X X+2 X+2 0 0 2 X+2 X+2 0 2 0 0 2 0 0 2 X+2 0 0 2 X X+2 X 2 X+2 X+2 2 X X X+2 0 X+2 X+2 0 2 X+2 X+2 X 2 2 X+2 0 0 X+2 X+2 X X+2 X X+2 X+2 0 X+2 X X X+2 2 X+2 2 X 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+192x^80+84x^81+386x^82+264x^83+616x^84+440x^85+712x^86+456x^87+756x^88+560x^89+662x^90+552x^91+751x^92+360x^93+492x^94+248x^95+270x^96+92x^97+136x^98+16x^99+62x^100+34x^102+24x^104+8x^106+10x^108+2x^110+5x^112+1x^124 The gray image is a code over GF(2) with n=356, k=13 and d=160. This code was found by Heurico 1.16 in 64.5 seconds.